Question

P L E A S E H E L P!!!!!!!!!

Answer 1

Answer:

The equation that matches the function shown is option;

C. $y = sin\left (\dfrac{1}{2} \cdot x\right)$

Step-by-step explanation:

The given graph of the function is a sinusoidal graph

The values of 'x' and 'y' coordinates at the maximum, x-intercept and minimum points are given as follows;

x, ${}$      y

0    ${}$   0

π ${}$       1

2·π   ${}$ 0

3·π ${}$    -1

4·π ${}$    0

We note that sin(π/2) = 1, sin(π) = 0 sin(3·π/2) = -1, and sin(4·π/2) = sin(2·π) = 0

Therefore;

y = the sine of half the x-value

Which is presented as follows;

$y = sin\left (\dfrac{1}{2} \cdot x\right)$.